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Forums
Mathematics
General Math
An odd integer series formula?
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[QUOTE="SammyS, post: 5464693, member: 295898"] Yes, a little over nine months ago you started such a [B][URL='https://www.physicsforums.com/threads/plews-conjecture-1.824187/']thread[/URL][/B]. In that thread you discussed the equation x + y = y[SUP]2[/SUP] - x[SUP]2[/SUP] . I assume you intend the 2 to be used as an exponent here also. The equation ##\ y = x+n \ ## is equivalent to the equation ##\ y - x=n \ ##. Multiplying that ##\ y+x\ ## gives ##\ (y - x)(y+x) =n(y+x) \ ##. This equation has a set of solutions in addition to those for the initial equation. These are the solutions to ##\ y=x\ ##. Of course, ##\ (y - x)(y+x) =n(y+x) \ ## is the same as ##\ y^2 - x^2 =n(y+x) \ ##. [/QUOTE]
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Forums
Mathematics
General Math
An odd integer series formula?
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